Question

The number of subset {x,y,z} of has so that x y z are in ap​

Answer 1

Answer:

There are 8 subsets of {x,y,z} such that x,y,z are in A.P.

Step-by-step explanation:

From the above question,

They have given :

The number of subset {x,y,z} of has so that x y z are in A.P.

• Subsets are a part of one of the mathematical concepts called Sets. A set is a collection of objects or elements, grouped in the curly braces, such as {a,b,c,d}.
• If a set A is a collection of even number and set B consists of {2,4,6}, then B is said to be a subset of A, denoted by B⊆A and A is the superset of B.
• Subsets are important in mathematics because they represent relationships between sets.
• For example, if A is a set of numbers, then the set of even numbers is a subset of A and the set of odd numbers is a subset of A.

Similarly, if A is a set of geometric shapes, then the set of rectangles is a subset of A and the set of circles is a subset of A.

There are 8 subsets of {x,y,z} such that x,y,z are in A.P.

They are:

          {x}, {y}, {z}, {x, y}, {x, z}, {y, z}, {x, y, z}, and the empty set.

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